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Finding the Fourth Proportional to 345.56, 517.17 and 290.21

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Solution

The fourth proportional to 345.56, 517.17 and 290.21 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.56 : 517.17 = 290.21 : x
  2. Step 2: Convert to fraction form
    345.56/517.17 = 290.21/x
  3. Step 3: Cross multiply
    345.56x = 517.17 × 290.21
  4. Step 4: Simplify right side
    345.56x = 150,085.32
  5. Step 5: Solve for x
    x = 150,085.32/345.56
  6. Step 6: Final answer
    x = 434.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.